Find the least 2-digit whole number N so that the sum 2^9+2^4+N is a perfect square.

Answers

Answer 1

Answer:

N=48

Step-by-step explanation:

2^9+2^4+48=576

576 is a perfect square

Answer 2

The least value of N that makes [tex]2^9 + 2^4 + N[/tex] a perfect square is 48

The number is given as:

[tex]2^9 + 2^4 + N[/tex]

Evaluate the exponents

[tex]2^9 + 2^4 + N = 512 + 16 + N[/tex]

Add 512 and 16

[tex]2^9 + 2^4 + N = 528 + N[/tex]

The above equation means that:

The sum of 528 and N is greater than 537 (this is so because N is 2-digit i.e. the possible value of N starts from 10).The smallest perfect square greater than 537 is 576.

So, the smallest value of the equation is 576.

The equation becomes

[tex]528 + N = 576[/tex]

Subtract 528 from both sides

[tex]N = 576 - 528[/tex]

[tex]N = 48[/tex]

Hence, the least value of N is 48

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Related Questions

What is the y-intercept of the graph of the equation 6x + 3y = 18?

Answers

My friends the answer is: x-intercept(s):  ( 3 , 0 ) y-intercept(s): ( 0 , 6 )

Can someone please help me on this would be appreciated

Answers

Answer:

16°

Step-by-step explanation:

According to diagram we have:

∠FLH ≅ ∠LMK, corresponding angles∠LMK ≅ ∠GMJ, vertical angles∠IMJ ≅ ∠KMH, vertical angles∠H ≅ ∠IMJ, corresponding angles

Now:

m∠FLH = m∠LMK = m∠GMJm∠GMJ = m∠GMI + m∠IMJ 3x + 6 = 3x - 10 + 2x2x = 6 + 102x = 16x = 8

Find the measure of angle H:

m∠H = m∠IMJ = 2x = 2*8 = 16

PLS HELP WILL MARK YOU BRAINLIEST!!!

Answers

[tex]\\ \sf\longmapsto (3x-2x^2+3)-(-5x^2+3x+5)[/tex]

[tex]\\ \sf\longmapsto 3x-2x^2+3+5x^2-3x-5[/tex]

[tex]\\ \sf\longmapsto 5x^2-2x^2+3x-3x+3-5[/tex]

[tex]\\ \sf\longmapsto 3x^2-2[/tex]

Answer:

The answer is B

Step-by-step explanation:

3x - 2x^2 + 3 -(-5x^2 + 3x + 5)

3x - 2x^2 + 3 + 5x^2 - 3x - 5

= 3x^2 - 2

Write an equation in point-slope form of
the line that has a slope of 2 and passes
through point (5,-3).

Answers

Answer:

(y+3)=2(x-5)

Step-by-step explanation:

Select the correct domain of the function represented by the graph.

Answers

A is the correct answer.

You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon for the blue car?

Help pls
Brainlist

Answers

Answer:

30.8 miles per gallon

Explanation:

1.25 = 38.5

Divide both sides by 1.25

1 = 30.8

I GIVE BRAINLIST ON ALL MY QUESTIONS !!

solve the system of equations using substitution

y= 2x + 4
2x - y =6

A) (2, 8)
B) (2, -8)
C) (10, 24)
D) no solution

Answers

Answer is D)

no solution

A diver descended 21.83 feet in 5.9 minutes. What was the diver's average change in eleration per minute?​

Answers

3.7 feet per minute

Surface area of a triangular prism

Answers

Answer:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Step-by-step explanation:

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In 2013 the population of Indonesia was 200 million. The population was increasing by 2.3% per year. What will the population of Indonesia be in 2022.

Answers

Just multiply and you have the answer

7th grade math please help me thank you.

Answers

5 1/2—>11/2

When you divide fractions you:

K-keep. F-flip. C-change

11/2*1/15=11/30

So the answer is A. 11/30


I hope this helps. Can you please mark this brainliest??

A school board is interested in whether high school students would like to shift the school day forward by 30 minutes. They decide to conduct a survey and randomly select students who are involved in extracurricular activities. Which statement is true? A. The survey results are most at risk for students not being able to answer honestly. B. The survey results are most at risk for nonresponse bias. C. The survey results are not at risk for any bias. D. The survey results are most at risk for undercoverage.

Answers

D. The survey results are most at risk for under coverage.

Explanation.
If they are only surveying students involved in extracurricular activities, they are leaving out many other students with opinions, therefore, it’s under coverage bias.

The true statement is

The survey results are most at risk for under coverage.

What is Survey?

Survey methodology is an area of applied statistics that focuses on human-research surveys. It examines the sampling of discrete groups from a population and related methods for gathering survey data, such as creating questionnaires and techniques for boosting response rates and accuracy.

We have,

A school board is interested in whether high school students would like to shift the school day forward by 30 minutes.

As, It would be biassed to just survey kids who participate in extracurricular activities because they would be excluding the opinions of many other students.

Thus, the survey results are most at risk for under coverage.

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what is the answer ?????​

Answers

Answer:

4.8÷40=4.8÷4÷10

           =0.12

0.12=12/100

      =3/25

Step-by-step explanation:

Part 1.

Our equation is [tex]4.8[/tex]÷[tex]40=0.12[/tex]

Part 2.

[tex]^{12}/_{100[/tex] = [tex]^{3}/_{25[/tex] as simplest form

X
х
a) Work out (8 x 10^-3)(2 x 10^-4
Give your answer in
standard form.
(

Answers

Answer:

1.6 x 10^-6.

Step-by-step explanation:

a) Work out (8 x 10^-3)(2 x 10^-4)

= 8 x 2 x 10^(-3 + -4)

= 16 x 10^-7

Convert this to standard form by dividing the first part by 10 and multiplying the second by 10.

= 1.6 x 10^-6.

Solve the system.
y-x=4
x+y=6

Answers

Answer:

x=1 y=5

Step-by-step explanation:

y=4+x

x=y=6

x+4+x=6

y=4+x

2x+4=6

y=4+x

2x=2

y=4+x

x=1

y=4+x

y=5

x=1

Help would be well appreciated!!!!!!

Answers

A.) -8

Explaining:

Dividing a negative number between a positive number is equal to a negative number.
-(96/12)

Divida the Numbers
-(96/12)
= -8

Is this positive or negative? ( slopes ) y= -2/3 x - 1

Answers

Answer:

positive

Step-by-step explanation:

negative times negative is positive

positive times positive is positive

positive times negative is negative

negative times positive is negative

Find an ordered pair (x,y) that is a solution to the equation. 3x-y=8

Answers

Answer:

(2,-2)

Step-by-step explanation:

[tex]3x-y =3(2) -(-2)= 6 +2 = 8[/tex]

Solve: 6 -0.2x = 2 (6 -0.6x)
A. x=0
B. There are infinitely many solutions.
C. x = 6
D. x = 18

Answers

The answer is x=18

Explanation:

6-0.2x=2(6-0.6x)

+0.2. +0.2

6=12-x

+12. +12

18=x

help me plssssssssssssssss​

Answers

Answer:

1/2= 5/10

this is answer

Mackenzi is buying school supplies. She needs to buy 30 writing utensils so that she doesn't run out during the year
but only has $20.90 saved up. If pencils are $0.35 and pens are $0.95 at the school store, how many of each could
she get if she spent all of her savings?
х
Answer the following questions. Round your answers to the nearest whole numbers.
How many pencils can she buy?
How many can she buy?
*Help ASAP please!*

Answers

She can buy 16 pens and 16 pencils.

Graph the equation and identify the intercept(s). If the equation is linear, find the slope of the line.

4. 2x - 3y = 6
5. y = 4.5
6. y = | x - 1 | -2

Answers

Answer:

Graphs shown below.

4.) x-intercept: (3,0)  y-intercept: (0,-2)  slope: 2/3

5.) x-intercept: none  y-intercept: (0,4.5)  slope:0

6.) x-intercept: (3,0) and (-1,0)  y-intercept: (0,-1)   slope: none

#4 is blue graph, #5 is green graph, #6 is red graph

Step-by-step explanation:

** #4 is blue graph, #5 is green graph, #6 is red graph **

Help PLSS Thanks ………………….

Answers

Answer:

3rd option

Step-by-step explanation:

Given z is inversely proportional to (y - 2)² then the equation relating them is

z = [tex]\frac{k}{(y-2)^2}[/tex] ← k is the constant of proportion

To find k use the condition when y = 5, z = 9 , then

9 = [tex]\frac{k}{(5-2)^2}[/tex] = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

81 = k

z = [tex]\frac{81}{(y-2)^2}[/tex] ← equation of proportion

Try 3rd one that’s the best one on there

What is the value of H in the diagram below?

Answers

Answer:

The answer is 6.5

Step-by-step explanation:

It was a long process, but overall if you look at how long the segment x looks, it has to be less than half of the segment that is 30 units long so the only one that makes sense is 6.5

Please help! WILL MARK BRAINLIEST

Answers

Answer:

50

Step-by-step explanation:

Solve 1.25 x 4 + 3 x 2 divided by (1/2) to the 3rd power

Answers

The required solution to the given numerical expressions is 88.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We have to determine the solution of 1.25 × 4 + 3 × 2 divided by (1/2) to the 3rd power

According to the given question,

⇒ (1.25 × 4 + 3 × 2) / (1/2)³

Apply the multiplication operation in the terms of the numerator,

⇒ (5 + 6) / (1/2)³

Apply the addition operation in the terms and expand the power of the denominator,

⇒ (11) / (1/8)

Reciprocal the term of denominator,

⇒ (11) × 8

⇒ 88

Therefore, the required solution to the given numerical expressions is 88.

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Hey can some one help me on this one please

Answers

Answer:

The first and third are functions.

Step-by-step explanation:

Functions must have only one y-value for an x-value.

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

A.  b ≤  -3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

C

Step-by-step explanation:

Find the measure of angle A.
4x
135°
5x
A

Answers

Using this equation:

[tex]4 \times + 5 \times + 135 = 180[/tex]

We can solve for X:

[tex]9 \times + 135 = 180 \\ 9 \times = 45 \\ \times = 45[/tex]

Multiply this value of x to 4 and 5 to get the other two angels.

0.8 = 8/10

True
False

Answers

Answer:

true

Step-by-step explanation:

0.8 is out of 1.0 so 0.8 + 0.2 = 1.0 and same for 8/10

Answer: True

Step-by-step explanation:

In order to see if the two given numbers are equal to each other, you need to turn one of them into either a fraction or a decimal so both of them are the same and you are able to compare.

In order to turn [tex]\frac{8}{10}[/tex] into a decimal, you divide 10 by 8.

8 ÷ 10 = 0.8

Both of the decimals are the same therefore the numbers are equal to each other and the statement is true.

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